The most common and most likely answer to this crossword clue is the 7 letter word MAGMATA
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The straight part
We know that "Masses of stodgy material?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case masses of stodgy material? = magmata.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does MAGMATA mean?
MAGMATA noun- The molten matter within the earth, the source of the material of lava flows, dikes of eruptive rocks, etc.
- A basic algebraic structure consisting of a set equipped with a single binary operation.
- Any soft doughy mass.
- The residuum after expressing the juice from fruits.